Answer:
F(t) = 10 +5t
Step-by-step explanation:
Income equals the initial fee plus the hours worked times the hourly rate
We know the initial fee = 10
hours = t
hourly rate =r
F(t) = 10 + r*t
We know a 5 hour job is 35 dollars
35 = 10 + r*5
Subtract 10 from each side
35-10 = 10-10 +5r
25 = 5r
Divide by 5
25/5 = 5r/5
5 =r
The hourly rate is 5
F(t) = 10 +5t
Answer:
4 and 9
Step-by-step explanation:
let their ages be x and x - 5, then in 4 years their ages will be
x + 4 and x - 5 + 4 = x - 1 , and the product is 104, thus
(x + 4)(x - 1) = 104 ← expand factors on left using FOIL
x² + 3x - 4 = 104 ( subtract 104 from both sides )
x² + 3x - 108 = 0 ← in standard form
(x + 12)(x - 9) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 12 = 0 ⇒ x = - 12
x - 9 = 0 ⇒ x = 9
However, x > 0 ⇒ x = 9
Thus
Their present ages are 9 and 9 - 5 = 4
Step-by-step explanation:
Let the two numbers be X and Y respectively.
<u>We know that</u> :
(a) X = 6Y + 5
(b) X + Y = 75
7Y + 5 = 75
X = 65
Y = 10
Given:
The equation of given line is
A line is perpendicular to the given line and passes through the point (9,5).
To find:
The equation of the perpendicular line.
Solution:
We have,
On comparing this equation with slope intercept form 
, we get
It means, the slope of the given line is 3.
The product of slopes of two perpendicular lines is -1.
Point slope form of a line is
Where, m is the slope.
The slope of perpendicular line is 
and it passes through the point (9,5). So the equation of the line is
Adding 5 on both sides, we get
Therefore, the equation of required line is .
